Baseball ticket problem

Admission  to a baseball game is $4.50  for general admission and $7.00 for reserve seats. The receipts were $5694 for 1112 paid admissions.How many of each ticket were sold? ​

x = number of reserve tickets 
1112 - x = number of general admission tickets   {a total of 1112 tickets were sold}

4.5(1112 - x) + 7x = 5694   {value of ticket times number of tickets equals total value} 
5004 - 4.5x + 7x = 5694   {used distributive property} 
5004 + 2.5x = 5694   {combined like terms} 
2.5x = 690   {subtracted 5004 from each side} 
x = 276   {divided each side by 2.5} 
1112 - x = 836   {substituted 276, in for x, into 1112 - x} 

276 reserve tickets 
836 general admission tickets

- Algebra House
​